Problem $2.$ Let $x=e^2$ and $y=sin(\frac{}{4}).$ Let $ux+y$ and $vxy.$ Let $x_{\text{p}\text{a}\text{p}\text{r}}$ and yexpe be the fixed point representation of $x$ and $y$ in an $8-$bit binary representation with $4$ decimal digits.

Express $x_{FxpR}$ and yFxp in the binary format.

Compute $u_{FxPR}$ and $v_{FxPR}.$

Compute the absolute and relative error in the computation of $u$ and $v.$

Hint: Use Matlab to compute the true values of $u$ and $v$ in order to compute the errors.